105035840 has 112 divisors (see below), whose sum is σ = 307921152. Its totient is φ = 33232896.

The previous prime is 105035837. The next prime is 105035849. The reversal of 105035840 is 48530501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105035840² = 22065055369011200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (105035849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27317 + ... + 30923.

It is an arithmetic number, because the mean of its divisors is an integer number (2749296).

Almost surely, 2^105035840 is an apocalyptic number.

105035840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153960576).

105035840 is an abundant number, since it is smaller than the sum of its proper divisors (202885312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105035840 is a wasteful number, since it uses less digits than its factorization.

105035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 105035840 is about 10248.6994296837. The cubic root of 105035840 is about 471.8230687993.

The spelling of 105035840 in words is "one hundred five million, thirty-five thousand, eight hundred forty".